In the system above two switches operate in parallel. Find the probability that flow will successfully pass through the system. The top switch has failure probability 0.05 and the bottom one has failure probability 0.10. Solution P(both top and bottom have failure) = P(top failure)*P(bottom failure) =0.05*0.1= 0.005 So the probability that flow will successfully pass through the system is 1-0.005= 0.995.